直接数值模拟/大涡模拟中数值误差影响的研究

杨小龙; 符松

直接数值模拟/大涡模拟中数值误差影响的研究

杨小龙¹,
符松²

1.
湖南大学先进动力总成技术研究中心,长沙 410082;2.清华大学航天航空学院,北京 100084

基金项目: 国家自然科学基金资助项目(10502029);教育部留学回国人员基金资助项目

详细信息

作者简介:
杨小龙(1973- ),男,湖南桃源人,副教授,博士(联系人.Tel:+86-731-8821672;E-mail:xl-yang@mail.tsinghua.edu.cn).

中图分类号: O35；O241
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- 文章访问数: 2972
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- 被引次数: 0
出版历程
- 收稿日期: 2007-10-25
- 修回日期: 2008-05-12
- 刊出日期: 2008-07-15

Study of Numerical Errors in DNS/LES

YANG Xiao-long¹,
FU Song²

1.
Research Center for Advanced Power-Strain Technology, Hunan University, Changsha 410082, P. R. China;

摘要

摘要: 通过比较湍流的能谱和总动能，对数值误差（包括混淆误差、离散截断误差）、亚格子模型以及它们之间相互作用对直接数值模拟和大涡模拟的影响进行了系统研究．算例采用了三维各向均匀同性湍流．为了研究复杂几何形状，数值格式采用了谱方法和Padé紧致格式．大涡模型采用了truncated Navior-Stokes(TNS)模型结合Padé离散滤波器．结果表明直接数值模拟中离散误差对结果有很大影响，低阶格式会导致计算发散．而大涡模拟中亚格子模型不仅能表征小尺度对大尺度的影响，而且还缓解了数值误差对计算结果的影响．因而低精度格式也可取得不错的结果．
- 数值误差 /
- TNS模型 /
- Padé紧致格式 /
- 离散滤波器 /
- 大涡模拟
Abstract: By comparing the energy spectrum and total kinetic energy,the effects of numerical errors (which arise from aliasing and discretization errors),subgrid-scale(SGS) models and their interactions on direct numerical simulation(DNS) and large eddy simulation(LES) were investigated in detail.The decaying isotropic turbulence was chosen as the test case.In order to simulate complex geometries,both spectral method and Pad?compact difference schemes were studied.The truncated Navier-Stokes(TNS) equation model with Pad discrete filter was adopted as SGS model.It is shown that for DNS,discretization error plays a key role in the simulation.Low order difference scheme may be not suitable.While for LES,it is found that SGS model can not only represent the effect of small scales to large scales,but also dump the numerical errors.Thus low order discretization scheme can also obtain reasonable results.
- numerical errors /
- TNS model /
- Pad compact difference scheme /
- discrete filter /
- LES

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参考文献(16)

[1]	Chow F K, Moin P. A further study of numerical errors in large-eddy simulations[J].Journal of Computational Physics,2003,184(2):366-380. doi: 10.1016/S0021-9991(02)00020-7
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[3]	Davidson L.LESFOIL:an European project on large eddy simulations around a high-lift airfoil at high Reynolds number[A].In:European Congress on Computational Methods in Applied Sciences and Engineering[C].Barcelona,Spain,2000.
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[8]	Lund T. The use of explicit filters in large eddy simulation[J].Computers and Mathematics With Applications,2003,46(4):603-616. doi: 10.1016/S0898-1221(03)90019-8
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[16]	YANG Xiao-long, FU Song. The effect of filtering on truncated Navier-Stokes equations[J].Journal of Turbulence,2007,8(8):1-18. doi: 10.1080/14685240600806256

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直接数值模拟/大涡模拟中数值误差影响的研究

作者简介:
杨小龙(1973- ),男,湖南桃源人,副教授,博士(联系人.Tel:+86-731-8821672;E-mail:xl-yang@mail.tsinghua.edu.cn).

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Study of Numerical Errors in DNS/LES

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留言板

直接数值模拟/大涡模拟中数值误差影响的研究

作者简介: 杨小龙(1973- ),男,湖南桃源人,副教授,博士(联系人.Tel:+86-731-8821672;E-mail:xl-yang@mail.tsinghua.edu.cn).

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出版历程

Study of Numerical Errors in DNS/LES

计量

出版历程

目录

作者简介:
杨小龙(1973- ),男,湖南桃源人,副教授,博士(联系人.Tel:+86-731-8821672;E-mail:xl-yang@mail.tsinghua.edu.cn).